3 years ago

Solve the equation 9p+14=2p+35 show your work

Mathematics

2 answers:

Alla [95]3 years ago

8 0

Answer:

p=3

Step-by-step explanation:

9p+14=2p+35

Subtract 2p from each side

9p-2p+14=2p-2p+35

7p +14 = 35

Subtract 14 from each side

7p +14-14 = 35-14

7p = 21

Divide by 7

7p/7= 21/7

p=3

m_a_m_a [10]3 years ago

7 0

$p = 3$ ✅

Step-by-step explanation:

$9p +14 = 2 p + 35 \\ ⇢ 9p - 2p = 35 - 14 \\ ⇢ 7p = 21 \\ ⇢ p = \frac{21}{7} \\ ⇢ p = 3$

To verify:-

$9p + 14 = 2p + 35 \\ ⇢ 9 \times 3 + 14 = 2 \times 3 + 35 \\ ⇢ 27 + 14 = 6 + 35 \\ ⇢ 41 = 41 \\ ⇢ L.H.S.=R. H. S$

Hence verified.

$\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆$

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